Answers
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{3}{2(-1)}~~,~~8-\cfrac{3^2}{4(-1)} \right)\implies \left( \cfrac{3}{2}~~,~~ 8+\cfrac{9}{4}\right)\implies \left( \cfrac{3}{2}~~,~~ \cfrac{41}{4}\right)[/tex]
now, for the solutions, or namely the x-intercepts, we simply set y = 0 and solve for "x", now this one doesn't factor into integers nicely, so we'll need to use the quadratic formula to get them.
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x=\cfrac{ - 3 \pm \sqrt { 3^2 -4(-1)(8)}}{2(-1)}\implies x = \cfrac{-3\pm\sqrt{9+32}}{-2}\implies x = \cfrac{3\mp\sqrt{41}}{2}[/tex]
[tex]x = \begin{cases} \cfrac{3-\sqrt{41}}{2}\\[2em] \cfrac{3+\sqrt{41}}{2} \end{cases}\qquad \leftarrow \qquad na mely\textit{ solutions or zeros or x-intercepts}[/tex]
Related Questions
URGENT: HELP ME WITH THE MATH PROBLEMS!!
(Note This Needs To Be Done Tonight!)
Answers
Answer:
1. 3 and 1/5 improper: 11/15
2. 3 and 3/4 improper: 15/16
3. 1 and 2/3 improper: 5/6
4. 2 and 1/2 improper: 5/6
5. 3 and 2/10 improper: 32/40
6. 3 and 3/9 improper: 30/36
7. 1 and 2/6 improper: 8/12
Part 2 out of 2
Heather's mom says that they would save more than $100 if they buy tickets for their family on opening
weekend. Do you agree or disagree with Heather's mom? Complete the explanation of how to find how
much they would save.
You ? v with Heather's mom.
The regular price tickets would cost them $80 x 4 people, which equals $
The discounted tickets would cost them $ * 4 people, which equals $224.
To find the difference subtract the discounted tickets total $224 from the regular price tickets total $
which equals $
They would save
which is less than $100.
Next
✓ Check
Next
? A
А
Question 18 of 21
Answers
Answer:
i agree I can't really explain why though sorry
Heather's mom's estimation is wrong, as they will only save $96.
What is a percentage?A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.
Given that, The special price for the amusement park ticket costs $56. This is 70% of the regular price, Heather's mom says that they would save more than $100 if they bought tickets for their family on opening weekend.
Let the original price of the ticket be x,
70% of x = 56
x = 56x100/70
x = 80
That means, the regular price is $80
On a regular day, ticket will cost = 80x4 = $320
On the special ticket price cost = 56x4 = $224
The saved priced = 320-224 = $96
Hence, Heather's mom's estimation is wrong, as they will only save $96.
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Emmalie is 32 inches tall. If her brother Joshua was 3.5 inches taller, he would be exactly twice Emmalie's height. How tall is Joshua? Enter your answer as a decimal in the box.
Answers
Answer:
60.5in
Step-by-step explanation:
32(2) - 3.5 = 60.5
Answer:
HERES ALL THE QUIZZES ANSWERS!
Question One/1:
9.5(w+5.7)=77.9
Question Two/2:
The scuba diver is 27 feet below sea level.
Question Three/3:
25.50
YOUR QUESTION: Question 4:
60.5 inches (in)
Question Five/5:
58 3/4 (mi)
Step-by-step explanation:
k12
MATH,
MIDDLE SCHOOL,
7TH GRADE,
HALFWAY.
YOU'RE SO WELCOME!
sorry, caps lol.
PHOTOS TOO!
(Crown?)
(i appreciate it!)
Thanks, bye!
What is 953 divided by 6
Answers
Answer
158 with a remainder of 5 ( also expressed as 953/6 OR 158.333333333333)
Step-by-step explanation:
I wasn't sure if you wanted a fraction, so I put two forms of the answer.
find the value of x for which f(x)=4
Answers
[tex] \: \: \: [/tex]
[tex]f(x) = 4[/tex]
The domain of a constant function is the set of all real numbers[tex]x = R[/tex]
hope it helps[tex] \: \: \: [/tex]
A) 37.68 square inches B) 72.52 square inches C) 108.12 square inches ) D) 113.09 square inches
Answers
Answer:
The answer is D.
Step-by-step explanation:
Radius is half of diameter. So the radius of the circle is 6 in.
The formula for getting the area of circle is:
A = π[tex]r^{2}[/tex] π = 3.1416
A = (3.1416)(6)[tex]^{2}[/tex]
A = (3.1416)(36)
A = 113.09 square inches
2 short questions 20 POINTS
Answers
Step-by-step explanation:
13.
oh, come on !
you never had and solved the situation "one piece costs that much, how much will be 2 or 5 or 10 of them ?"
it is a simple multiplication.
and hence the answer B.
the first hint is already in the table with 1 pizza costing $5.25.
2 pizzas are then 2×$5.25, 3 pizzas 3×$5.25, ...
so, the cost c = number of pizzas × $5.25
or short
c = p×5.25 or 5.25p
14.
the domain is the interval or set of valid values for the input variable (x) of a function/relation.
and the range is the interval or set of valid values for the result variable (y) of a function/relation.
so, the domain is the set {-3, -1, 0, 1, 3}.
and the range is the set {-4, 0, 2, 4}.
In mathematics, a function is a binary relation between two intervals or sets that associates each element of the first interval/set (domain) to exactly one element of the second interval/set (range).
and that's what is done here.
it is a function.
each value of x is associated exactly with 1 result value of y.
a y value can be associated with more than one x value - no problem.
but no x value can have more than one associated y value - otherwise that would break the principle of a function.
In the base ten number 4325 , how many times
greater than the value represented by the digit 2 is the value represented by the digit 4 ?
Answers
Using the concept of place value, the digit 4 is 200 times greater than the digit 2.
Given the number :
4325The digit 2 is in the tens place = 2 × 10 = 20
The digit 4 is in the thousand place = 4 × 1000 = 4000
The number of times greater can be obtained thus :
4000 / 20 = 200Hence, the digit 4 is 200 times greater than the digit 2.
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Is the ordered list 26, 39, 52, 65, 78 an arithmetic sequence?
Answers
Answer:
Yes
Step-by-step explanation:
It is an arithmetic sequence since it has a common difference which is 13.
78-65 = 13
65-52 = 13
52-39 = 13
39-26 = 13
Translate the English phrase into an algebraic expression: four times the difference of v and one.
Answers
Answer:
4(v-1)
Step-by-step explanation:
the answer is 4(V-1)
Answer:
the answer is 4(v-1)
When asked a certain question in a poll, 72% of the people polled answered yes. If 56 people did not answer yes to that question, what is the total number of people who were polled?
Answers
Answer:
i think its 200
Answer:
200people
Step-by-step explanation:
28 percent=56people100=?100 multiplied by 56=5600 5600 divide by 28=200¿A donde llegas si sales de la escuela y avanzas PORFAVOR ES PARA MAÑANA
Answers
Answer:
a mi casa aunque no es lejos
Susie catches 15 butterflies and lets 6 butterflies go for three days in a row
Answers
Answer:
Sorry don't report pls I need the points
Step-by-step explanation:
Which is the verbal expression for 11 - 2/n?
Answers
Answer:
(a.)
Step-by-step explanation:
(we talked abt it in the comment haah)
???????????????????????????????????????
Answers
Answer:
Its C (Third Multiple Choice Answer)
Step-by-step explanation:
The reason being that x + 1 / 2 (6x - 4) = 6 is the way it is instead of the first step being x + 6x / 2 - 4 / 2 = 6 is because it is using legal manipulation by multiplying the 1 / 2 out.
Math:
First
2 * (x + 1 / 2 (6x - 4) = 6 * 2 [In this case the x gets multiplied by 2 and multiplies 2 to the other side as well. The reason why it isn't a Distributive Property in the first place is because we are using multiplication only and the equation is not 1 / 2 (6x - 4).
Then
2x + 6x - 4 = 12 will then equal to 8x - 4 = 12 which is adding like terms
Thirdly
(+ 4) + 8x - 4 = 12 (+ 4) [The parenthesis is to identify that the 4 is positive]
will then turn into 8x = 16
Finally
By dividing 8 on both sides of the previous equation
8x / 8 = 16 / 8 equaling x = 2.
The difference of twice a number and 7 is 20. Find the number.
Answers
Answer:
twice the difference gives 2(difference). 7 = 14 20 = 40
Step-by-step explanation:
Salma received 7/9 of the 81 votes cast for class president. How many votes did she receive?
Answers
Answer: 63 votes
Step-by-step explanation:
Simply multiply 81 by 7/9 to get the answer, 63 votes.
Hope it helps :) and let me know if you want me to elaborate.
63
Step-by-step explanation:
(7/9) x 81 = 63
original price of a truck $ 17,100.00 Tax 2.5%
Answers
Sales Tax Only: $427.50
Total Price: $17,527.50
What is the distance between the points (7 , 34) and (7 , 19) in the coordinate plane?
Answers
Answer: 15.00 units
Explanation: When we know the horizontal and vertical distances between two points we can calculate the straight line distance like this: distance = √ a2 + b2
What is the slope of any line that is perpendicular to the line that contains the points (8,8) and (12,12)
Answers
Answer: 1
Step-by-step explanation:
12-8=4
12-8=4
4 over 4 is 1
if it perpendicular then it's the opposite reciprocal
hope that help
How do the measures of the angles of triangle ABC compare if those of triangle A’B’C’ when triangle A’B’C’ coincides with the other three triangles. What can you say about the preservation of the angle measurement of the shape during rotation.?
Answers
Answer:
30x t 78
Step-by-step explanation:
16/20 - (- 1.8) - 4/5 =
Answers
Remove parentheses
4/5 + 1.8 - 4/5
=9/5
Solve
-12 + 23
A. -35
B. -11
C. 11
D. 35
Answers
Answer:
C. 11
Step-by-step explanation:
This can be rewritten as
23 - 12
This is equal to 11.
Answer:
11
Step-by-step explanation:
-12 + 23 = 11
since the 12 is negative subtract it from 23 and you get 11 as your answer
Complete the equation to show how many tenths are equivalent to 1/2
Answers
Answer:
5/10
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST
Matt ate 2005 calories. The next day he ate 1920 calories. What is the percent change in the number of calories from day 1 to day 2?
Answers
Answer:
85%
Step-by-step explanation:
calculate lim F(X)
[tex] {x }^{2} + 1 - 3 \frac{ ln(x) }{x} [/tex]
Answers
[tex]Hiya![/tex]
Sokka is here to help!!
Here's the step:
[tex]x^2+1-3\frac{In(x)}{x}[/tex]
[tex]Mutiply[/tex] [tex]by:[/tex] [tex]3[/tex]
[tex]. \frac{In(x)}{x} :\frac{3In(x)}{x}[/tex]
[tex]= x^2+1-\frac{3In(x)}{x}[/tex]
ANSWER:
[tex]= x^2+1-\frac{3In(x)}{x} .[/tex]
Hopefully, this helps you!!
[tex]Sokka[/tex]
NO LINKS!!!
Complete the following problems to the best of your knowledge. Show all your work. Part 1
Answers
Step-by-step explanation:
#1a. -6, -9, 12
There is no sequence since the difference between the terms is not common and the ratio of the terms is not commonb. t(n) = 0.5 - 6
There is no sequence as all the terms are same regardless the value of nc. 32, 16, 8
The sequence is geometric as common ratio is 1/2, each next term is half the previous one#2a. 8, 16, 32, 64, ...
This is a geometric sequence as the common ratio is 2b. 1, 1, 2, 3, 5, 8, ...
This is neither one since no common difference or ratio between the consecutive termsc. 5, 5, 5, ...
This is neither one since common difference is zero or common ratio is 1d. -101, -99, -97, -95, ...
This is a arithmetic sequence since the common ratio is 2#3According to question the sequence is:
200000, 100000, 50000, ...We see each number is half the previous one so this is a GP with common ratio of 1/2
I need a help.... thankyouu to those who can ans. this:))
A. BSA Method
B. Clark's Rule
(20 points)
Answers
A
Step-by-step explanation:
just trust me that is the correct answer
use the correct trig function to find the value of x. SOH, CAH, TOA
Answers
Answer:
About 11.025
Step-by-step explanation:
[tex]\sin{58^\circ}=\dfrac{x}{13}\\\\x=13\cdot\sin{58^\circ} \approx11.025[/tex]
Solve the inequality. 53(2x + 2) – 10 ≥ 2x + 2(23x + 2) please help
Answers
A relationship between two expressions or values that are not equal to each other is called 'inequality. inequality 53(2x + 2) – 10 ≥ 2x + 2(23x + 2) is x≥-92/58.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is
53(2x + 2) – 10 ≥ 2x + 2(23x + 2)
Apply the distributive property
106x+106-10≥ 2x + 46x+4
Add the like terms
106x+96≥ 48x+4
Take all common variables on one side
106x-48x≥4-96
106x-48x is 58 and 4 minus 96 is minus 92.
58x≥-92
x≥-92/58
Hence inequality 53(2x + 2) – 10 ≥ 2x + 2(23x + 2) is x≥-92/58.
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